Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Astrophysics

arXiv:astro-ph/9603139 (astro-ph)
[Submitted on 27 Mar 1996]

Title:Quantifying the Topology of Large-Scale Structure

Authors:Peter Coles, Andrew G. Davies, Russell C. Pearson
View PDF
Abstract: We propose and investigate a new algorithm for quantifying the topological properties of cosmological density fluctuations. We first motivate this algorithm by drawing a formal distinction between two definitions of relevant topological characteristics, based on concepts, on the one hand, from differential topology and, on the other, from integral geometry. The former approach leads one to concentrate on properties of the contour surfaces which, in turn, leads to the algorithms CONTOUR2D and CONTOUR3D familiar to cosmologists. The other approach, which we adopt here, actually leads to much simpler algorithms in both two and three dimensions. (The 2D algorithm has already been introduced to the astronomical literature.) We discuss the 3D case in some detail and compare results obtained with it to analogous results using the CONTOUR3D algorithm.
Comments: 10 pages, LaTex using this http URL, 3 figures available on request from this http URL@qmw.this http URL; MNRAS, in press
Subjects: Astrophysics (astro-ph)
Report number: QMW-AU-96013
Cite as: arXiv:astro-ph/9603139
  (or arXiv:astro-ph/9603139v1 for this version)
  https://doi.org/10.48550/arXiv.astro-ph/9603139
Related DOI: https://doi.org/10.1093/mnras/281.4.1375

Submission history

From: Peter Coles [view email]
[v1] Wed, 27 Mar 1996 10:47:47 UTC (17 KB)
Full-text links:

Access Paper:

view license
Current browse context:
astro-ph
< prev   |   next >
new | recent | 1996-03

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)